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Finding the Third Proportional to 435,318 and 914,702

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Solution

The third proportional to 435,318 and 914,702 is: 1,921,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,318 : 914,702 = 914,702 : x
  2. Step 2: Convert to fraction form
    435,318/914,702 = 914,702/x
  3. Step 3: Cross multiply
    435,318x = 914,702 × 914,702
  4. Step 4: Simplify right side
    435,318x = 836,679,748,804
  5. Step 5: Solve for x
    x = 836,679,748,804/435,318
  6. Step 6: Final answer
    x = 1,921,996.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.